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Finding the Fourth Proportional to 933.47, 1,288.05 and 540.42

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Solution

The fourth proportional to 933.47, 1,288.05 and 540.42 is: 745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.47 : 1,288.05 = 540.42 : x
  2. Step 2: Convert to fraction form
    933.47/1,288.05 = 540.42/x
  3. Step 3: Cross multiply
    933.47x = 1,288.05 × 540.42
  4. Step 4: Simplify right side
    933.47x = 696,091.41
  5. Step 5: Solve for x
    x = 696,091.41/933.47
  6. Step 6: Final answer
    x = 745.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.